Results 251 to 260 of about 8,933,474 (280)

Exploring complex dynamics in nonlinear Riemann wave models using fractional calculus-based expansion. [PDF]

Sci Rep
Mumtaz A, Masood K, Shakeel M, Shah NA.
europepmc   +1 more source

Image Encryption via DDPM Skipping-Step Diffusion Based on a Six-Dimensional Hyperchaotic System with Feedback Control. [PDF]

Entropy (Basel)
Wang S, Zhao H, He W, Wang T, Zhuang Z, Zhang T, Xu J.   +6 more
europepmc   +1 more source

Chaotic Characteristics Analysis of a Strongly Dissipative Nonlinearly Coupled Chaotic System and Its Application in DNA-Encoded RGB Image Encryption. [PDF]

Entropy (Basel)
Yu Z, Tian Z, Wang B, Wang W, Pan N, Wang Y, Fang Q, Zuo X, Yu L, Jiang Y, Tian L, Yan F.   +11 more
europepmc   +1 more source

Global Phase Portraits of Separable Polynomial Rigid Systems with a Center

Journal of Nonlinear Science
The article studies separable polynomial rigid systems of the form \[ \dot{x} = -y + xH(x,y), \quad \dot{y} = x + yH(x,y), \] with \(H(x,y) = f(x)g(y)\), focusing on the case when either \(f\) or \(g\) is an odd function. This condition guarantees symmetry in the vector field, ensuring that the origin is a center and influencing the global dynamics ...
Hebai Chen, Zhaosheng Feng
exaly   +3 more sources

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Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type

Nonlinear Analysis: Real World Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuilin Wu, Shimin Li
exaly   +3 more sources

The Classification on the Global Phase Portraits of Two-dimensional Lotka–Volterra System

Journal of Dynamics and Differential Equations, 2008
The authors present a complete classification of all quadratic planar Lotka-Volterra systems. By a very detailed investigation, they find 143 topologically inequivalent global phase portraits for these systems, up to time reversal. First, all systems with nontrivial closed orbits are examined separately.
Jifa Jiang
exaly   +2 more sources

Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems

Nonlinear Dynamics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianfeng Huang, Yulin Zhao, Haihua Liang
exaly   +2 more sources

Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four

Journal of Mathematical Analysis and Applications, 2020
The complete bifurcation diagram and global phase portraits in the Poincaré disc of a Lienard system of degree four with linear restoring force and three parameters are presentes. Using the rotation property, the authors find necessary and sufficient conditions for the existence of separatrix loops and limit cycles, respectively.
Xiaofeng Chen, Hebai Chen
exaly   +3 more sources

Global Phase Portraits of Uniform Isochronous Centers System of Degree Six with Polynomial Commutator

Acta Mathematicae Applicatae Sinica
This paper provides an in-depth study of the global phase portraits of uniform isochronous centers in systems of degree six, characterized by a polynomial commutator. The authors focus on systems of the form \[ \dot{x} = -y + xf(x, y) \text{ and } \dot{y} = x + yf(x, y), \] where \( f(x, y) = x\sigma(y) \), exploring the geometric implications of ...
Guo, Li-na, Chen, Ai-Yong, Zhao, Shuai-feng   +2 more
exaly   +3 more sources