Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …
In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …
equations. We considered the example of a Lorenz-like system derived from the well-known …
Dynamics of Loschmidt echoes and fidelity decay
Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …
recently attracted much interest as a measure of the susceptibility of dynamics to …
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …
[HTML][HTML] On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
Currently it is being actively discussed the question of the equivalence of various Lorenz-like
systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a …
systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a …
[BOOK][B] Nonlinear dynamics and quantum chaos
S Wimberger - 2014 - Springer
Sandro Wimberger An Introduction Second Edition Page 1 Nonlinear Dynamics and
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …
Geometrical properties of local dynamics in Hamiltonian systems: The Generalized Alignment Index (GALI) method
We investigate the detailed dynamics of multi-dimensional Hamiltonian systems by studying
the evolution of volume elements formed by unit deviation vectors about their orbits. The …
the evolution of volume elements formed by unit deviation vectors about their orbits. The …
[HTML][HTML] The Lyapunov dimension and its estimation via the Leonov method
NV Kuznetsov - Physics Letters A, 2016 - Elsevier
Along with widely used numerical methods for estimating and computing the Lyapunov
dimension there is an effective analytical approach, proposed by GA Leonov in 1991. The …
dimension there is an effective analytical approach, proposed by GA Leonov in 1991. The …
Lyapunov dimension formula for the global attractor of the Lorenz system
The exact Lyapunov dimension formula for the Lorenz system for a positive measure set of
parameters, including classical values, was analytically obtained first by GA Leonov in 2002 …
parameters, including classical values, was analytically obtained first by GA Leonov in 2002 …
Data-driven approximations of dynamical systems operators for control
Abstract The Koopman and Perron Frobenius transport operators are fundamentally
changing how we approach dynamical systems, providing linear representations for even …
changing how we approach dynamical systems, providing linear representations for even …
Quantum many-body scars from unstable periodic orbits
Unstable periodic orbits (UPOs) play a key role in the theory of chaos, constituting the
“skeleton” of classical chaotic systems and “scarring” the eigenstates of the corresponding …
“skeleton” of classical chaotic systems and “scarring” the eigenstates of the corresponding …