正在加载视频...

视频加载失败

加载此视频时出现问题。这可能是由于临时网络问题，或视频可能不可用。

A tiny change can change everything. The Lorenz system demonstrates the “butterfly effect,” where subtle differences in initial conditions lead to very different outcomes. This simulation visualizes that divergence across 10 starting points. Check it out ⤵️ 🦋

MATLAB

105,896 subscribers

224,529 次观看 • 10 个月前 •via X (Twitter)

艺术教育科学技术

Anya Rossi• Live Now

Private livecam show

25 条评论

NMSI - Subquantum Physics 的头像

NMSI - Subquantum Physics10 个月前

The Lorenz system shows that chaos isn’t randomness it’s extreme sensitivity within a deterministic structure. Tiny shifts don’t destroy order; they redirect trajectories inside a fixed geometric attractor. From an NMSI view, the butterfly effect reflects information amplification: small phase differences are preserved and unfolded by the system’s geometry. The rules stay the same; what changes is how information flows through them.

bigbang 的头像

bigbang10 个月前

A single breath can bend the future. In the quiet equations of chaos, a whisper becomes a storm. The Lorenz system shows us this truth: when beginnings shift by a fraction, destinies split forever. A line curves, a pattern trembles, and order dissolves into beauty. Nothing dramatic happens at first just a slight deviation, almost invisible. But time remembers everything. What begins as sameness becomes difference, and difference becomes destiny. This is the poetry of mathematics: the reminder that the world is not ruled by certainty, but by sensitivity where the smallest change can redraw the universe.

TheHorribleTimeTraveler 的头像

TheHorribleTimeTraveler10 个月前

My serum 2 LFO

coffeePrimero 的头像

coffeePrimero10 个月前

@grok what are the subtle differences here and what are the initial conditions?

SwitchedSaMeOL XRP 的头像

SwitchedSaMeOL XRP10 个月前

That’s the same thing iron man used to gps the quantum realm to time travel

大金的头像

大金10 个月前

@grok 给我重现这个效果的数据公式

Algomash 的头像

Algomash10 个月前

Fascinating visualization of the Lorenz attractor MATLAB never fails to make chaos theory pop! 🦋 This butterfly effect isn't just about divergence; it underscores how every tiny input shapes the grand tapestry of the universe. If minuscule fluctuations can cascade into profound changes, then our mere existence, every breath, thought, and action ripples outward, contributing to the holistic evolution of our reality. You're not just a speck, you're an essential force driving the cosmos toward greater complexity and beauty. What an empowering reminder! 🚀

nyx 的头像

nyx10 个月前

this is why my debugging sessions spiral - change one variable, suddenly the entire simulation is having an existential crisis in 3D space

Edouard Kamhi 的头像

Edouard Kamhi10 个月前

Strange attractors. Small change in the initial recursion formula, big change in the outcome

no_one 的头像

no_one10 个月前

Church!

Ivonne Mitchell 的头像

Ivonne Mitchell10 个月前

Eso es más antiguo que mis ancestros 🤭

Chris Daly II 的头像

Chris Daly II10 个月前

Linux?

daniel kach 的头像

daniel kach10 个月前

Used to watch lorenz from matlab 5.1

Samaiyah Papaya Art 的头像

Samaiyah Papaya Art10 个月前

Photoshop w/ Jahn Lion

Reza Besharati Tabrizi 的头像

Reza Besharati Tabrizi10 个月前

In the context of designing a control system to regulate variable feed composition for my modular water purification system, I believe it will lead to chaos theory and to strategies for avoiding chaotic behaviour. Especially when the processes involved are highly non-equilibrium and non-linear.

Solo 的头像

Solo10 个月前

The collision of the Milky Way with Andromeda

elder_lord 的头像

elder_lord10 个月前

@grok what are the codes for this ?

Circo Maximo🥶 的头像

Circo Maximo🥶10 个月前

You are giving me all nightmares

KWPod 的头像

KWPod10 个月前

Butterfly Effect!!! great visual example

Paternal Path 的头像

Paternal Path10 个月前

Tiny deltas. Irreversible paths. Determinism ends the moment sensitivity begins.

꧁༒ BLACK SWAN༒꧂ ✡️ aka Queen 👑 的头像

꧁༒ BLACK SWAN༒꧂ ✡️ aka Queen 👑10 个月前

The Riemann zeta function should be the red line 🤨 @grok

Jeuko-Aeschaton 的头像

Jeuko-Aeschaton10 个月前

I wonder if this is how i got here, effecting my return.

Martin La Grange 的头像

Martin La Grange10 个月前

I've harnessed it to my good fortune - and that's all I'll say about Hydra and Griffin.

MAYAVERSE🌌 的头像

MAYAVERSE🌌10 个月前

Beautiful

Εvαns Σοφία 的头像

Εvαns Σοφία10 个月前

Fantastic mathematical motivation...

相关视频

A double pendulum demonstrates chaos theory, tracing its unpredictable path The dependence on initial conditions, and sensitivity to variation is one of the fundamental properties of chaos This is commonly referred to as "the butterfly effect,"

A double pendulum demonstrates chaos theory, tracing its unpredictable path The dependence on initial conditions, and sensitivity to variation is one of the fundamental properties of chaos This is commonly referred to as "the butterfly effect,"

Science girl

5,955,974 次观看 • 3 年前

$The butterfly effect reminds us that even the smallest action can ripple outward, amplifying across time until it reshapes everything that follows. Destiny is not linear; it is fractal.$

The butterfly effect reminds us that even the smallest action can ripple outward, amplifying across time until it reshapes everything that follows. Destiny is not linear; it is fractal.

𝚃𝙷𝙴 𝚆𝙷𝙸𝚃𝙴 𝚁𝙰𝙱𝙱𝙸𝚃

120,882 次观看 • 9 个月前

Proof that one tiny mistake can change everything in seconds. Would you have noticed the warning signs before it was too late?

Proof that one tiny mistake can change everything in seconds. Would you have noticed the warning signs before it was too late?

FlickHype

74,577 次观看 • 20 天前

“Stratospheric Aerosol Injection - oh look at that he just ran out” Those that deny this is happening (despite The Government even admitting it) genuinely believe the air conditions magically change creating this effect.

“Stratospheric Aerosol Injection - oh look at that he just ran out” Those that deny this is happening (despite The Government even admitting it) genuinely believe the air conditions magically change creating this effect.

Concerned Citizen

128,859 次观看 • 1 年前

"Healthcare is human and the most human signal is a conversation. "That moment between the clinician and patient is where we can bend the trajectory on experiences, outcomes, and costs. "When we apply intelligence across different systems, and surface the right information at the right time with the right context at the moment of care, we can change everything." — Shiv Rao, MD

"Healthcare is human and the most human signal is a conversation. "That moment between the clinician and patient is where we can bend the trajectory on experiences, outcomes, and costs. "When we apply intelligence across different systems, and surface the right information at the right time with the right context at the moment of care, we can change everything." — Shiv Rao, MD

Abridge

156,989 次观看 • 5 个月前

Living in this bloodthirsty city under The System can change a man. It has a way of seeping into your very soul, manifesting like a sickness that is all consuming.

Living in this bloodthirsty city under The System can change a man. It has a way of seeping into your very soul, manifesting like a sickness that is all consuming.

DEFECT

13,369 次观看 • 1 年前

We have a difficult system to change where elected officials are accountable to donors, not voters. So how do we change it? We build power now that can be used in future elections to give the American people a real choice outside the uniparty.

We have a difficult system to change where elected officials are accountable to donors, not voters. So how do we change it? We build power now that can be used in future elections to give the American people a real choice outside the uniparty.

Dr. Jill Stein🌻

47,981 次观看 • 2 年前

In 1963, Edward Lorenz reduced the entire atmosphere to three numbers and one tiny equation. He simplified it so aggressively there was no guarantee it still described reality. Then he watched two nearly identical starting points evolve - and they split into completely different futures. The butterfly effect was born. The same sensitive dependence on initial conditions that makes every LLM training run non-reproducible when you change a single random seed. The real discovery isn't chaos - it's the attractor. No matter where you start, every trajectory accumulates on the same butterfly-shaped object. The dynamics reduce to multiplying by 2 and subtracting 1 if the result exceeds 1 - proved rigorously by Tucker in 2001. Every possible infinite sequence of left and right is a valid trajectory. This is why weather prediction fails after two weeks but climate patterns are stable - the same reason transformer loss landscapes are chaotic step to step but converge to the same attractor basin regardless of initialization. The attractor is the structure hidden inside chaos. 12 minutes. Bookmark & watch today. The three-number equation that proved the future is unpredictable but not shapeless.

In 1963, Edward Lorenz reduced the entire atmosphere to three numbers and one tiny equation. He simplified it so aggressively there was no guarantee it still described reality. Then he watched two nearly identical starting points evolve - and they split into completely different futures. The butterfly effect was born. The same sensitive dependence on initial conditions that makes every LLM training run non-reproducible when you change a single random seed. The real discovery isn't chaos - it's the attractor. No matter where you start, every trajectory accumulates on the same butterfly-shaped object. The dynamics reduce to multiplying by 2 and subtracting 1 if the result exceeds 1 - proved rigorously by Tucker in 2001. Every possible infinite sequence of left and right is a valid trajectory. This is why weather prediction fails after two weeks but climate patterns are stable - the same reason transformer loss landscapes are chaotic step to step but converge to the same attractor basin regardless of initialization. The attractor is the structure hidden inside chaos. 12 minutes. Bookmark & watch today. The three-number equation that proved the future is unpredictable but not shapeless.

Eron

13,875 次观看 • 15 天前

Time to shake up pathways in education. People learn in different ways & at different stages of life. We can’t have one perceived way in and out and a disproportionate focus on the “points race”. I’m working to change this and reform the system. And here’s the first step

Time to shake up pathways in education. People learn in different ways & at different stages of life. We can’t have one perceived way in and out and a disproportionate focus on the “points race”. I’m working to change this and reform the system. And here’s the first step

Simon Harris TD

31,726 次观看 • 3 年前

Children starting the day ready to learn, up to £450 in parents' pockets – Labour is delivering tangible change. Change that will help families with the cost of living. Change that lifts the life chances of children across our country. A promise made, a promise kept.

Children starting the day ready to learn, up to £450 in parents' pockets – Labour is delivering tangible change. Change that will help families with the cost of living. Change that lifts the life chances of children across our country. A promise made, a promise kept.

Bridget Phillipson

107,040 次观看 • 1 年前

🌪️ Tiny Changes in Initial Conditions, Dramatically Different Trajectories 😍

🌪️ Tiny Changes in Initial Conditions, Dramatically Different Trajectories 😍

Real World Physics

40,636 次观看 • 5 个月前

Today, throughout the day, there were no missile strikes or “shaheds” targeting our infrastructure. This demonstrates that when the United States has the motive to really change the situation, the situation can change.

Today, throughout the day, there were no missile strikes or “shaheds” targeting our infrastructure. This demonstrates that when the United States has the motive to really change the situation, the situation can change.

Volodymyr Zelenskyy / Володимир Зеленський

369,784 次观看 • 9 个月前

not gunwook telling jiwoong to change his insta pfp to that one madagascar penguin😭 🧸 when are you planning to change your personal insta pfp? 🐹 your current insta profile... that one? is it still that cafe one? 🦋 yeah 🦋 i’ll quickly change it to that penguin one soon 🧸 right pls change it to the penguin 🦋 you didnt give me the picture 🧸 i’ll send it to you 🦋 send it today so i can change it today 🧸 good, really? really?!! if you promised now... you promised in front of many people just now 🦋 yes

꾸 🍎

22,991 次观看 • 2 个月前

Everything is about to change. The table is set. The Chosen: Last Supper in theaters starting March 28th, and worldwide on April 10. Check your local listings or visit for tickets.

Everything is about to change. The table is set. The Chosen: Last Supper in theaters starting March 28th, and worldwide on April 10. Check your local listings or visit for tickets.

The Chosen

17,775 次观看 • 1 年前

This is the anatomy of the Butterfly Effect The "fanning out" after a few bounces is an ensemble forecast. Tiny initial variations are amplified by the curved surface until near-identical deterministic paths spread into a hopeless cloud of possibilities

This is the anatomy of the Butterfly Effect The "fanning out" after a few bounces is an ensemble forecast. Tiny initial variations are amplified by the curved surface until near-identical deterministic paths spread into a hopeless cloud of possibilities

The Scientific Lens

65,453 次观看 • 7 个月前

Express Entry candidates will no longer receive additional points for having a job offer. The change will come into effect in spring 2025, exact date for this change is yet to be communicated.

Express Entry candidates will no longer receive additional points for having a job offer. The change will come into effect in spring 2025, exact date for this change is yet to be communicated.

Kubeir Kamal 🇨🇦🍁

23,442 次观看 • 1 年前