Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles non linéaires
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Publication:1565735
DOI10.1007/BF02546499zbMath0005.20703MaRDI QIDQ1565735
Publication date: 1932
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items (28)
Exact solution to fractional logistic equation ⋮ Memory function approach to nonlinear deterministic systems: An exact linear equation ⋮ Nonlinear fluctuations, separation of procedures and linearization of processes ⋮ Reducing nonlinear dynamical systems to canonical forms ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Observability of smooth control systems ⋮ Hilbert space description of classical dynamical systems. I ⋮ Lie symmetries and invariants of the Lotka–Volterra system ⋮ On the Approximability of Koopman-Based Operator Lyapunov Equations ⋮ Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation ⋮ Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family ⋮ Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems ⋮ Reachability of weakly nonlinear systems using Carleman linearization ⋮ Nonlinear dynamical systems and classical orthogonal polynomials ⋮ Periodic impulse-forcing of non-linear systems: a new method ⋮ RATIONAL FIRST INTEGRALS FOR POLYNOMIAL VECTOR FIELDS ON ALGEBRAIC HYPERSURFACES OF ℝn+1 ⋮ On the solvability of singular integral equations with reflection on the unit circle ⋮ On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions ⋮ Nonpolynomial vector fields under the Lotka-Volterra normal form ⋮ Structure-preserving interpolation of bilinear control systems ⋮ Darboux method and search of invariants for the Lotka–Volterra and complex quadratic systems ⋮ Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems ⋮ DARBOUXIAN INTEGRABILITY OF POLYNOMIAL VECTOR FIELDS WITH SPECIAL EMPHASIS ON THE TWO-DIMENSIONAL SURFACES ⋮ Carleman embedding and Lyapunov exponents ⋮ Sul fondamento matematico della teoria degli invarianti adiabatici ⋮ Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers ⋮ Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework ⋮ Fractal and lacunary stochastic processes
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