AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in addition they are solved by usual perturbative or linearizing methods, the mathematical solution may deviate seriously from the actual physical behavior. The latter problem is significantly alleviated by use of the decomposition method of the author. A number of examples are given
AbstractSolution of a coupled system of nonlinear partial differential equations is demonstrated for...
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some case...
The analysis of parameterised nonlinear models is considered and a new approach is introduced which ...
AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in ...
AbstractThe decomposition method can be an effective procedure for solution of nonlinear and/or stoc...
AbstractIn this paper we consider a two-compartment model and analyze the underlying nonlinear syste...
AbstractA number of important equations of physics are shown to fit into the structure of a nonlinea...
In this paper, an efficient decomposition method is constructed and used for solving system of nonli...
AbstractRecent generalizations are discussed and results are presented for the theory and applicatio...
AbstractThe decomposition method has been applied to nonlinear differential equations which have a l...
AbstractThe author's decomposition method [1] provides a new, efficient computational procedure for ...
The problem of solving block triangular nonlinear systems of equations appears in several applicatio...
AbstractWe present a further development of the decomposition method [1,2], which leads to a single ...
The mainobjective of this research is to study the stability of thenon-lineardynamical system by usi...
AbstractThe decomposition method can be an effective procedure for analytical solution of a wide cla...
AbstractSolution of a coupled system of nonlinear partial differential equations is demonstrated for...
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some case...
The analysis of parameterised nonlinear models is considered and a new approach is introduced which ...
AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in ...
AbstractThe decomposition method can be an effective procedure for solution of nonlinear and/or stoc...
AbstractIn this paper we consider a two-compartment model and analyze the underlying nonlinear syste...
AbstractA number of important equations of physics are shown to fit into the structure of a nonlinea...
In this paper, an efficient decomposition method is constructed and used for solving system of nonli...
AbstractRecent generalizations are discussed and results are presented for the theory and applicatio...
AbstractThe decomposition method has been applied to nonlinear differential equations which have a l...
AbstractThe author's decomposition method [1] provides a new, efficient computational procedure for ...
The problem of solving block triangular nonlinear systems of equations appears in several applicatio...
AbstractWe present a further development of the decomposition method [1,2], which leads to a single ...
The mainobjective of this research is to study the stability of thenon-lineardynamical system by usi...
AbstractThe decomposition method can be an effective procedure for analytical solution of a wide cla...
AbstractSolution of a coupled system of nonlinear partial differential equations is demonstrated for...
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some case...
The analysis of parameterised nonlinear models is considered and a new approach is introduced which ...
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