Chaos theory

Particle dynamics with aggregation and fragmentation occurs in almost every branch of science and engineering.

This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences.

This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences.

This book is a Weekend Pocketbook on Everything You Should Know About Rogue Waves, the sudden walls of water that once sounded like sailor folklore until instruments proved they were real.

Ecology of Environments is an ongoing cross-disciplinary research program exploring the morphology of complex systems.

Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down.

Based on only elementary mathematics, this engaging account of chaos theory bridges the gap between introductions for the layman and college-level texts.

This text examines the emerging field of fractals and its applications in earth sciences.

We are living in a time of unprecedented change.

Transform your approach to digital defense by discovering the profound beauty in scientific principles that govern modern security.

Transform your approach to digital defense by discovering the profound beauty in scientific principles that govern modern security.

What if reality is not a fixed structure but an infinite loop of self-generating patterns?

What if everything you use today — your phone, your building, your medicine, your legal system — traces back to a single thousand-year window in human history?

A person born in 1900 entered a world of horse-drawn carriages, candlelight, and telegraphs.

One untied shoelace.

Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China.

Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China.

Classical Dynamics of Linear and Nonlinear Systems offers a comprehensive exploration of dynamical systems from fundamental principles to advanced applications.

Classical Dynamics of Linear and Nonlinear Systems offers a comprehensive exploration of dynamical systems from fundamental principles to advanced applications.

Sharkovsky's Theorem, Li and Yorke's "e;period three implies chaos"e; result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations.

"e;Presents new approaches to qualitative analysis of continuous, discreteptime, and impulsive nonlinear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability.

Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems.

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models.

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems.

Culled from the pages of CRC's highly successful, best-selling The Circuits and Filters Handbook, Second Edition, Nonlinear and Distributed Circuits presents a sharply focused, comprehensive review of the fundamental theory behind professional applications of these complex circuits.

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical.

Epilepsy, one of the most prevalent neurological disorders, affects approximately 1% (greater than 60 million) of the world's population.

Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly.

Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston.

The theory of nonlinear dynamics and chaos, and the extent to which recent improvements in the understanding of inherently nonlinear natural processes present challenges to the use of mathematical models in the analysis of water and environmental systems, are elaborated in this work.

While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals.

Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations.

This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.

A practical step-by-step guide to creating and flying 25 amazing paper planes.

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry.

Self-organization of matter is observed in every context and on all scales, from the nanoscale of quantum fields and subatomic particles to the macroscale of galaxy superclusters.