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ALMOST ISOMORPHISM FOR COUNTABLE STATE MARKOV SHIFTS
ALMOST ISOMORPHISM COUNTABLE STATE MARKOV SHIFTS
2015/9/29
Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamic...
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
Exact nonequilibrium steady state of a strongly driven open XXZ chain
nonequilibrium steady state driven XXZ chain
2011/7/7
An exact and explicit ladder-tensor-network ansatz is presented for non-equilibrium steady state of an anisotropic Heisenberg XXZ spin-1/2 chain which is driven far from equilibrium with a pair of Lin...
Ground state properties in non-relativistic QED
Ground state properties non-relativistic QED
2011/2/21
We discuss recent results concerning the ground state of non-relativistic quantum electrodynamics as a function of a magnetic coupling constant or the fine structure
constant, obtained by the authors...
Input-to-state stability of interconnected hybrid systems
Stability of hybrid systems Lyapunov methods Large-scale systems
2011/2/28
We consider interconnections of arbitrary topology of several hybrid input-to-state stable (ISS) systems and study whether the ISS property is preserved by an interconnection. The small gain approach ...
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
Global dynamics above the ground state the nonlinear Klein-Gordon equation
2010/11/8
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy a...
State Space Consistency and Differentiability Conditions for a Class of Causal Dynamical Input-Output Systems
State Space Consistency Differentiability Conditions Class of Causal Dynamical Input-Output Systems
2010/12/14
A causal input-output system may be described by a function space for inputs, a function space for outputs, and a causal operator mapping the input space into the output space. A particular representa...
The Center for Dynamical Systems at the Pennsylvania State University
Dynamical Systems 动力系统
2007/12/26
The Center for Dynamics and Geometry at Penn State has a strong and active group working in the broad spectrum of disciplines related to the theory of Dynamical Systems and Geometry. At present, our D...