✦ LIBER ✦

Nonlinear Classical Dynamics and Knot Invariants

✍ Scribed by M.S.El Naschie

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 245 KB
Volume: 10
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(98)00229-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Knot energies and knot invariants

✍ Xiao-Song Lin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 642 KB

To record what has happened, ancient people tie knots. I. C/zing, the Chinese classic of 1027-771 BC. Knots are fascinating objects. When fastening a rope, the distinction between a knot and a 'slip-knot' (one that can be undone by pulling) must have been recognized very early in human history. We

Dual graphs and knot invariants

✍ Magnhild Lien; William Watkins 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Quantum Level Structures and Nonlinear C

Quantum Level Structures and Nonlinear Classical Dynamics

✍ M.S. Child 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 180 KB

The classical structure underlying the quantum mechanics of molecular vibrations is illustrated by reference to changes in vibrational energy distributions induced by increased anharmonic coupling as the energy increases. Specific applications to Fermi resonance models and to the level structures ar

Analogy of nonlinear systems to classica

Analogy of nonlinear systems to classical dynamics

✍ Ruey-Wen Liu; Gilbert H. Fett 📂 Article 📅 1961 🏛 Elsevier Science 🌐 English ⚖ 620 KB

The two-dimensional autonomous system in the geueral form is considered. The solution is in terms of the phase trajectories in the phase plane. In this paper, a force field over the phase plane is formulated such that the path of a particle in this force field coincides with the path of the trajecto

Quantum and classical dynamics for a pul

Quantum and classical dynamics for a pulsed nonlinear oscillator

✍ W. Leoński 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 624 KB

Construction of Complex Invariants for C

Construction of Complex Invariants for Classical Dynamical Systems

✍ R.S. Kaushal; Shweta Singh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 144 KB

With a view to extracting some further insight into the features of a dynamical system, we investigate here the possibility of its admitting complex dynamical invariants. For this purpose, both the rationalization and the Lie algebraic methods are employed to study the one-dimensional Hamiltonian sy