Results 121 to 130 of about 57,997 (153)

Differential Equations and System Dynamics

2014
In Chapter 5, we saw how we can simulate a continuous process given by the update equations which define the rate of change of the process in terms of the current and previous values of the process. A real world system is a combination of interdependent processes which may be hidden or visible to the outside world.
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Differential Equations and Dynamical Systems

2012
Henri Poincare presented his thesis to the Faculte des Sciences of the University of Paris to obtain the degree of doctor of mathematical sciences. The title: “Sur les proprietes des fonctions definies par les equations aux differences partielles.” It was accepted on August 1, 1879, by a committee consisting of J.-C. Bouquet (chairman), P.-O.
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DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS

2009
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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Dynamical Systems and Differential Equations

2015
In this chapter, we review some basic topics in the theory of ordinary differential equations from the viewpoints of the global geometrical approach which is a base to develop the energy flow analysis for NDS. In the first two sections the review of basic theory for dynamical systems and differential equations is rapid.
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Differential Forms and Dynamical Systems

2007
One of the modern geometric views of dynamical systems is as vector fields on a manifold, with or without boundary. The starting point of this paper is the observation that, since one-forms are the natural expression of linear functionals on the space of vector fields, the interaction between the two makes some aspects of the study of equilibria and ...
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Dynamic system simulation with qualitative differential equations

1992
Qualitative differential equations (QDE) are a popular formalism for modelling dynamic systems qualitatively. This paper briefly introduces the basic concepts of this approach, including types of constraints used in QDE and the QSIM simulation algorithm.
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Differential Dynamical Systems

2007
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Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems

IEEE Transactions on Circuits and Systems, 1983
Lai-Sang Young
exaly  

A review of linear response theory for general differentiable dynamical systems

Nonlinearity, 2009
David Ruelle
exaly  

Differentiable Dynamical Systems

2016
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