srch

The appearance of chaos in a system is usually associated with systems whose mathematical model has a parameter that can vary. For a given range ...

Gennady A. Leonov was a highly-respected honorary editor of the International Journal of Bifurcation and Chaos. Read the obituary here. LATEST ARTICLES ...

As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern.

Chaos versus EMI: Methodologies and Practice Yuhong Song, Junying Niu and Zhong Li. Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System Shunzeng Wang, Ling Hong and Jun Jiang. Coexisting Attractors in a Physically Extended Lorenz System Sungju Moon, Jong-Jin Baik and Seong-Ho Hong

International Journal of Bifurcation and Chaos. in Applied Sciences and Engineering. ISSN (print): 0218-1274 | ISSN (online): 1793-6551. Tools.

1.2 Bifurcation. All diagrams rendered with 1‑D Chaos Explorer. A more intuitive approach to orbits can be done through graphical representation using the following rules: Draw both curves on the same axes. Pick a point on the x-axis. This point is our seed.

30.12.2021 · We first use DDE-BIFTOOL to find the double Hopf bifurcation points of the system, and draw the bifurcation diagrams with two bifurcation parameters, i.e. the tax collection delay τ 1 and the public expenditure decision-making delay τ 2. Then we employ the method of multiple scales to obtain two amplitude equations.

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering.

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, ...

Therefore, this research direction of bifurcation and chaos in fractional-order dynamical systems opens up a corpus of opportunities with great promises in ...

Chaos versus EMI: Methodologies and Practice Yuhong Song, Junying Niu and Zhong Li. Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System Shunzeng Wang, Ling Hong and Jun Jiang. Coexisting Attractors in a Physically Extended Lorenz System Sungju Moon, Jong-Jin Baik and Seong-Ho Hong

This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials …

Many studies have been made in chaotic dynamics during the past three decades and many simple chaotic systems have been discovered. In this work, “Bifurcations ...

As a parameter varies, qualitative changes in the behaviour of the system can occur at certain parameter values. Each of such a change is known ...

Bifurcation and chaos What is chaos Some concepts about chaos Relationships between bifurcation and chaos It will be too abstract if I simply list all the points here. Let me explain this later using the MATLAB example of Logistic Map. Bifurcation and chaos What is chaos Chaos examples in MATLAB Logistic Map Proposed by the biologist Robert May.

Bifurcation and Chaos in Complex Systems · Description. The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. · Key ...

In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values ... Bifurcation memory · Chaos theory · Skeleton of bifurcation diagram ...

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of ...

Bifurcation: A bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its...