[PDF] Top 20 Equivalent differential equations for nonlinear dynamical systems
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Equivalent differential equations for nonlinear dynamical systems
... In Chapt e r III, the relationship b e tween the differ<~ntia l equation error (the differ e nce between the original system and the equivalent system) and the sol[r] ... See full document
218
Perturbation in Nonlinear Operator Dynamical Systems
... Integrodifferential equations and the systems involving semigroup of operators have been investigated extensively by many authors during the past ...of nonlinear studies through nonlinear ... See full document
9
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... When compared with the existing published methods, it is easy to notice that the new method has many advantages. It is straightforward, easy to understand, and fast, requiring much less computations to perform a limited ... See full document
9
Mathematical Modelling Living Systems Regulatory Mechanisms at the Norm and Anomalies
... living systems regulatorika make it possible to effectively analyze the biological systems regulatory mechanisms functioning at the norm and ...living systems functioning mechanisms, we can use the ... See full document
6
Associated transforms for solution of nonlinear equations
... In systems engineering, nonlinear differential or integrodifferential equations are solved using multiple dimensional Laplace transform.. A commonly used method for obtaining the inverse[r] ... See full document
14
Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
... ordinary differential equations called Differential transformation method (DTM) is addressed and used to approximate solutions for a well-known non-linear ...The differential transformation ... See full document
9
Systems of differential equations with implicit impulses and fully nonlinear boundary conditions
... impulses. This is uniquely solvable with the solution lying in the admissible bounding set. We use the Leray index theorem and the multiplication theorem to show that the degree of the associated nonlinear ... See full document
18
Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
... Carath´edory systems which can be applied due to the construction of a suitable regular polyfacial ...differential equations with continuous right-hand sides to Carath´edory ... See full document
20
Nonlinear differential equations and algebraic systems
... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ... See full document
11
Methods of Integrable Systems, Geometry, Applied Mathematics (MISGAM)
... Unitary matrix integrals play a big role. Similarly, integrals over symmetric spaces, like Grassmannians, lead to a variety of important matrix models, which satisfy nonlinear integrable differential ... See full document
12
An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
... The physical phenomenon of a liquid droplet spreading on a substrate has been stud- ied in many scientific fields. In each case, a common demand is to obtain a relatively accurate numerical model for which the solution ... See full document
43
Existence and stability of the solutions for systems of nonlinear fractional differential equations with deviating arguments
... While most existing research focuses on constant delays, the considered equations (.) contain variable delays. Moreover, it is important to note that our results are valid even in the case where the ... See full document
10
A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... solve systems of nonliner fractional partial differential ...solving systems of nonlinear fractional partial differential equations in other areas of ... See full document
10
An iterative approach to eigenvalue assignment for nonlinear systems
... for nonlinear dynamical systems in which the original nonlinear equation is replaced by a sequence of linear time-varying equations converging in the space of continuous functions to ... See full document
15
Existence of solutions for nonlinear fuzzy impulsive integrodifferential equations
... Fuzzy differential equations are a very important topic both in theory and application, for example, in population models, in engineering, in chaotic systems and in modeling ...ential ... See full document
10
Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations
... On the other hand, we end this section by reminding the readers that for interesting examples of complete cone metric spaces over Banach algebras and for useful applications to functional and integral equations, ... See full document
28
Pointwise almost periodicity in a generalized shift dynamical system
... shift dynamical system. Proceedings The 10th Seminar on Differential Equations and Dynamic Systems 6-7 November 2013, University of Mazandaran, Babolsar, ... See full document
8
Approximation of the Wigner Distribution for Dynamical Systems Governed by Differential Equations
... dt + a 0 x = f (t), (1) where f (t) is the driving force and x(t) the state function. Often, one wants to study the time-frequency properties of the solution. That would be done by solving (1) and putting the solution ... See full document
6
Discrete Chaos in Fractional Henon Map
... fractional differential equations in the past decades ...difference systems start to attract increasing attention due to its potential applications in secure communication and control ...the ... See full document
7
Modeling Nonlinear Dynamical Systems
... most dynamical systems which describe processes in engineering, physics and economics, stochastic components and random noise are ...of dynamical system are broadly categorized into three main areas ... See full document
9
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