Duffing Oscillator and Elliptic Curve Cryptography
Copyright policy )Duffing Oscillator and Elliptic Curve Cryptography
A new approach to discretization of the Duffing equation is presented. Integrable discrete maps are obtained by using well-studied encrypting operations in elliptic curve cryptography and, therefore, they do not depend upon standard small parameter assumption.
7 pages, LaTeX with AMS fonts
- St Petersburg University Russian Federation
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, integrable maps, Mathematical Physics (math-ph), Dynamical Systems (math.DS), 14H52, 37J35, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, divisor arithmetic, elliptic curve cryptography, Cryptography, FOS: Mathematics, Relationships between algebraic curves and integrable systems, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, integrable maps, Mathematical Physics (math-ph), Dynamical Systems (math.DS), 14H52, 37J35, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, divisor arithmetic, elliptic curve cryptography, Cryptography, FOS: Mathematics, Relationships between algebraic curves and integrable systems, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
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