4.6 Article

Alternative Methods of the Largest Lyapunov Exponent Estimation with Applications to the Stability Analyses Based on the Dynamical Maps-Introduction to the Method

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 Engineering, Mechanical

Synchronized chaotic swinging of parametrically driven pendulums

Andrzej Stefanski et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2020)

Article Mathematics, Applied

Long-range memory effects in a magnetized Hindmarsh-Rose neural network

Armand S. Eteme et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2020)

Article Engineering, Mechanical

Determining Lyapunov exponents of non-smooth systems: Perturbation vectors approach

Marek Balcerzak et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2020)

Article Physics, Multidisciplinary

Fast and simple Lyapunov Exponents estimation in discontinuous systems

M. Balcerzak et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2020)

Article Physics, Multidisciplinary

Properties of generalized synchronization in smooth and non-smooth identical oscillators

M. Balcerzak et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2020)

Article Mathematics, Applied

Firing and synchronization modes in neural network under magnetic stimulation

A. S. Eteme et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)

Article Mathematics, Interdisciplinary Applications

Lyapunov Exponents of Early Stage Dynamics of Parametric Mutations of a Rigid Pendulum with Harmonic Excitation

Wojciech Smiechowicz et al.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2019)

Article Mathematics, Interdisciplinary Applications

Computation of the largest positive Lyapunov exponent using rounding mode and recursive least square algorithm

Marcia L. C. Peixoto et al.

CHAOS SOLITONS & FRACTALS (2018)

Article Engineering, Electrical & Electronic

Hyperchaotic Memcapacitor Oscillator with Infinite Equilibria and Coexisting Attractors

Karthikeyan Rajagopal et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2018)

Article Engineering, Mechanical

Lyapunov exponent for Lipschitz maps

Giuliano G. La Guardia et al.

NONLINEAR DYNAMICS (2018)

Article Physics, Multidisciplinary

A chaotic jerk system with non-hyperbolic equilibrium: Dynamics, effect of time delay and circuit realisation

Karthikeyan Rajagopal et al.

PRAMANA-JOURNAL OF PHYSICS (2018)

Article Acoustics

Multistability in Horizontal Platform System with and without Time Delays

Karthikeyan Rajagopal et al.

SHOCK AND VIBRATION (2018)

Article Chemistry, Physical

A Simple Snap Oscillator with Coexisting Attractors, Its Time-Delayed Form, Physical Realization, and Communication Designs

Karthikeyan Rajagopal et al.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES (2018)

Article Chemistry, Physical

A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium

Shuili Ren et al.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES (2018)

Article Physics, Multidisciplinary

Complete dynamical analysis of a neuron under magnetic flow effect

Shirin Panahi et al.

CHINESE JOURNAL OF PHYSICS (2018)

Article Mathematics, Interdisciplinary Applications

Megastability, Multistability in a Periodically Forced Conservative and Dissipative System with Signum Nonlinearity

Pankaj Prakash et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2018)

Article Physics, Multidisciplinary

A novel parametrically controlled multi-scroll chaotic attractor along with electronic circuit design

Karthikeyan Rajagopal et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2018)

Article Engineering, Mechanical

The Reduced Space Shooting Method for Calculating the Peak Periodic Solutions of Nonlinear Systems

Haitao Liao et al.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS (2018)

Article Physics, Multidisciplinary

Neuronal firing and DNA dynamics in a neural network

Armand Sylvin Eteme et al.

JOURNAL OF PHYSICS COMMUNICATIONS (2018)

Proceedings Paper Computer Science, Theory & Methods

Tuning the Control System of a Nonlinear Inverted Pendulum by Means of the New Method of Lyapunov Exponents Estimation

Marek Balcerzak et al.

COMPUTER METHODS IN MECHANICS (CMM2017) (2018)

Article Engineering, Mechanical

Stability and stabilization of a class of fractional-order nonlinear systems for

Sunhua Huang et al.

NONLINEAR DYNAMICS (2017)

Article Physics, Multidisciplinary

Time-delayed chameleon: Analysis, synchronization and FPGA implementation

Karthikeyan Rajagopal et al.

PRAMANA-JOURNAL OF PHYSICS (2017)

Article Physics, Multidisciplinary

Synchronizability and eigenvalues of multilayer star networks through unidirectionally coupling

Sun Juan et al.

ACTA PHYSICA SINICA (2017)

Article Mathematics, Interdisciplinary Applications

Synchronized nonlinear patterns in electrically coupled Hindmarsh-Rose neural networks with long-range diffusive interactions

Armand S. Eteme et al.

CHAOS SOLITONS & FRACTALS (2017)

Article Mechanics

Stability analysis of duffing oscillator with time delayed and/or fractional derivatives

Haitao Liao

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2016)

Article Engineering, Mechanical

IMPROVING THE EFFICIENCY OF FOUR-STROKE ENGINE WITH USE OF THE PNEUMATIC ENERGY ACCUMULATOR-SIMULATIONS AND EXAMINATION

A. Dabrowski et al.

INTERNATIONAL JOURNAL OF AUTOMOTIVE TECHNOLOGY (2016)

Article Engineering, Mechanical

Novel gradient calculation method for the largest Lyapunov exponent of chaotic systems

Haitao Liao

NONLINEAR DYNAMICS (2016)

Article Engineering, Mechanical

Optimization analysis of Duffing oscillator with fractional derivatives

Haitao Liao

NONLINEAR DYNAMICS (2015)

Article Physics, Multidisciplinary

Chaos and fractal properties of solar activity phenomena at the high and low latitudes

Zhou Shuang et al.

ACTA PHYSICA SINICA (2015)

Article Astronomy & Astrophysics

Low-dimensional chaos and fractal properties of long-term sunspot activity

Shuang Zhou et al.

RESEARCH IN ASTRONOMY AND ASTROPHYSICS (2014)

Article Engineering, Electrical & Electronic

Power system transient stability analysis via the concept of Lyapunov Exponents

D. Prasad Wadduwage et al.

ELECTRIC POWER SYSTEMS RESEARCH (2013)

Article Automation & Control Systems

Group and Total Dissipativity and Stability of Multi-Equilibria Hybrid Automata

Eva M. Navarro-Lopez et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2013)

Article Engineering, Mechanical

Detection of changes in cracked aluminium plate determinism by recurrence analysis

Joanna Iwaniec et al.

NONLINEAR DYNAMICS (2012)

Article Mathematics, Interdisciplinary Applications

Using chaos to reduce oscillations: Experimental results

A. Dabrowski et al.

CHAOS SOLITONS & FRACTALS (2009)

Article Mathematics, Interdisciplinary Applications

Energy-vector method in mechanical oscillations

Artur Dabrowski

CHAOS SOLITONS & FRACTALS (2009)

Article Mathematics, Interdisciplinary Applications

The construction of the energy space

A Dabrovski

CHAOS SOLITONS & FRACTALS (2005)

Article Mathematics, Applied

Nonlinear time series analysis of normal and pathological human walking

JB Dingwell et al.