4.4 Review

Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

On differences and similarities in the analysis of Lorenz, Chen, and Lu systems

G. A. Leonov et al.

APPLIED MATHEMATICS AND COMPUTATION (2015)

Article Physics, Multidisciplinary

Complex transient dynamics of hidden attractors in a simple 4D system

Dang Xiao-Yu et al.

CHINESE PHYSICS B (2015)

Article Mathematics, Applied

Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

G. A. Leonov et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2015)

Article Engineering, Electrical & Electronic

Finding hidden attractors in improved memristor-based Chua's circuit

Mo Chen et al.

ELECTRONICS LETTERS (2015)

Article Physics, Multidisciplinary

Co-existing hidden attractors in a radio-physical oscillator system

A. P. Kuznetsov et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2015)

Article Computer Science, Interdisciplinary Applications

Multistability and hidden attractors in a multilevel DC/DC converter

Zhanybai T. Zhusubaliyev et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2015)

Article Physics, Multidisciplinary

Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system

G. A. Leonov

PHYSICS LETTERS A (2015)

Article Mathematics

Coincidence of the Gelig-Leonov-Yakubovich, Filippov, and Aizerman-Pyatnitskiy Definitions

M. A. Kiseleva et al.

VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS (2015)

Article Mathematics, Applied

Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor

N. V. Kuznetsov et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2014)

Article Mathematics, Interdisciplinary Applications

Constructing a Novel No-Equilibrium Chaotic System

Viet-Thanh Pham et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2014)

Article Mathematics, Interdisciplinary Applications

A New Cost Function for Parameter Estimation of Chaotic Systems Using Return Maps as Fingerprints

Sajad Jafari et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2014)

Article Mathematics, Interdisciplinary Applications

Cost Function Based on Gaussian Mixture Model for Parameter Estimation of a Chaotic Circuit with a Hidden Attractor

Seng-Kin Lao et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2014)

Article Mathematics, Interdisciplinary Applications

Coexisting Hidden Attractors in a 4-D Simplified Lorenz System

Chunbiao Li et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2014)

Article Computer Science, Interdisciplinary Applications

A new finding of the existence of hidden hyperchaotic attractors with no equilibria

Zhouchao Wei et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2014)

Article Engineering, Mechanical

Fishing principle for homoclinic and heteroclinic trajectories

G. A. Leonov

NONLINEAR DYNAMICS (2014)

Article Engineering, Mechanical

On hidden twin attractors and bifurcation in the Chua's circuit

Qingdu Li et al.

NONLINEAR DYNAMICS (2014)

Article Physics, Multidisciplinary

Complicated basins and the phenomenon of amplitude death in coupled hidden attractors

Ushnish Chaudhuri et al.

PHYSICS LETTERS A (2014)

Article Physics, Multidisciplinary

Chaotic flows with a single nonquadratic term

Chunbiao Li et al.

PHYSICS LETTERS A (2014)

Review Physics, Multidisciplinary

Control of multistability

Alexander N. Pisarchik et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2014)

Article Mathematics, Applied

Scientific heritage of LP Shilnikov

Valentin S. Afraimovich et al.

REGULAR & CHAOTIC DYNAMICS (2014)

Article Mathematics, Interdisciplinary Applications

Simple chaotic flows with a line equilibrium

Sajad Jafari et al.

CHAOS SOLITONS & FRACTALS (2013)

Article Mathematics, Interdisciplinary Applications

SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS

G. A. Leonov

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2013)

Article Mathematics, Interdisciplinary Applications

SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM

Malihe Molaie et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2013)

Article Engineering, Mechanical

Constructing a chaotic system with any number of equilibria

Xiong Wang et al.

NONLINEAR DYNAMICS (2013)

Article Physics, Multidisciplinary

Sequences of gluing bifurcations in an analog electronic circuit

Sayat N. Akhtanov et al.

PHYSICS LETTERS A (2013)

Article Mathematics, Applied

Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System

N. V. Kuznetsov et al.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (2013)

Article Mathematics, Applied

Hidden attractor in smooth Chua systems

G. A. Leonov et al.

PHYSICA D-NONLINEAR PHENOMENA (2012)

Article Mathematics, Applied

Lyapunov functions in the attractors dimension theory

G. A. Leonov

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS (2012)

Article Mathematics

Theory of pseudo-orbit shadowing in dynamical systems

S. Yu. Pilyugin

DIFFERENTIAL EQUATIONS (2011)

Article Mathematics, Applied

Dimension estimates in smooth dynamics: a survey of recent results

Luis Barreira et al.

ERGODIC THEORY AND DYNAMICAL SYSTEMS (2011)

Article Computer Science, Artificial Intelligence

Algorithms for Finding Hidden Oscillations in Nonlinear Systems. The Aizerman and Kalman Conjectures and Chua's Circuits

V. O. Bragin et al.

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL (2011)

Article Physics, Multidisciplinary

The dimension formula for the Lorenz attractor

G. A. Leonov et al.

PHYSICS LETTERS A (2011)

Article Physics, Multidisciplinary

Localization of hidden Chua's attractors

G. A. Leonov et al.

PHYSICS LETTERS A (2011)

Article Computer Science, Software Engineering

ON LORENZ-LIKE DYNAMIC SYSTEMS WITH STRENGTHENED NONLINEARITY AND NEW PARAMETERS

Bo Liao et al.

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING (2010)

Article Computer Science, Interdisciplinary Applications

SVD algorithms to approximate spectra of dynamical systems

L. Dieci et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2008)

Article Mathematics, Interdisciplinary Applications

Analytical and numerical investigation of two families of Lorenz-like dynamical systems

S. Panchev et al.

CHAOS SOLITONS & FRACTALS (2007)

Article Mathematics, Interdisciplinary Applications

Time-varying linearization and the Perron effects

G. A. Leonov et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2007)

Article Mathematics, Interdisciplinary Applications

Hopf bifurcation control using nonlinear feedback with polynomial functions

P Yu et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2004)

Article Mathematics, Interdisciplinary Applications

On a generalized Lorenz canonical form of chaotic systems

S Celikovsky et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2002)