Results 41 to 50 of about 36,359 (205)

Study of Fixed Points and Chaos in Wave Propagation for the Generalized Damped Forced Korteweg-de Vries Equation using Bifurcation Analysis

Chaos Theory and Applications, 2023
In this article, we consider the Generalized Damped Forced Korteweg-de Vries (GDFKdV) equation. The forcing term considered is of the form $F(U)=U(U-v_1)(U-v_2)$, where $v_1$ and $v_2$ are free parameters.
Shruti Tomar, Naresh M. Chadha
doaj   +1 more source

Numerical estimate of infinite invariant densities: application to Pesin-type identity

, 2013
Weakly chaotic maps with unstable fixed points are investigated in the regime where the invariant density is non-normalizable. We propose that the infinite invariant density of these maps can be estimated using as the long time limit of t^(1-alpha) rho(x,
Barkai, Eli, Korabel, Nickolay
core   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates

Advanced Intelligent Systems, EarlyView.
This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin, Rudolf M. Füchslin, Achille Giacometti, Helmut Hauser, Marco Werner   +4 more
wiley   +1 more source

Generalized Lyapunov exponent as a unified characterization of dynamical instabilities

, 2014
The Lyapunov exponent characterizes an exponential growth rate of the difference of nearby orbits. A positive Lyapunov exponent is a manifestation of chaos.
Aizawa, Yoji, Akimoto, Takuma, Nakagawa, Masaki, Shinkai, Soya   +3 more
core   +1 more source

Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong, Chong Dong, Can Xue, Meiheng Peng, Ying Feng, Jianwei Zhang, Yinuo Liu   +6 more
wiley   +1 more source

An Alternative Admissibility Theorem for Singular Fractional Order Systems

IEEE Access, 2019
This work is concerned with the issue of admissibility for singular fractional order systems (FOS) with the fractional order 1 ≤ α <; 2.
Xuefeng Zhang, Zeli Zhao, Li Li
doaj   +1 more source

A generalization of lyapunov's equation to nonlinear systems

IFAC Proceedings Volumes, 2004
Abstract In this paper a generalization of Lyapunov's equation for the stability of linear dynamical systems to globally asymptotically stable nonlinear systems is presented by embedding the system in a linear infinite-dimensional one on a tensor space by using Carleman linearization. This linear representation allows the definition and solution of a
C. Navarro Hernandez, S.P. Banks
openaire   +1 more source

Chapman-Enskog derivation of the generalized Smoluchowski equation

, 2004
We use the Chapman-Enskog method to derive the Smoluchowski equation from the Kramers equation in a high friction limit. We consider two main extensions of this problem: we take into account a uniform rotation of the background medium and we consider a ...
Biler, Borland, Chandrasekhar, Chavanis, Chavanis, Chavanis, Chavanis, Chavanis, Chavanis, Degond, Frank, Huang, Kaniadakis, Klein, Kramers, Mohammed Lemou, Naudts, Philippe Laurençot, Pierre-Henri Chavanis, Plastino, Risken, Rosier, Sire, Tsallis, Tsallis, van Kampen, von Smoluchowski   +26 more
core   +3 more sources

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source