Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem

In this paper, a method to construct topological template in terms of symbolic dynamics for the diamagnetic Kepler problem is proposed. To confirm the topological template, rotation numbers of invariant manifolds around unstable periodic orbits in a phase space are taken as an object of comparison. The rotation numbers are determined from the definition and connected with symbolic sequences encoding the periodic orbits in a reduced Poincare section. Only symbolic codes with inverse ordering in the forward mapping can contribute to the rotation of invariant manifolds around the periodic orbits. By using symbolic ordering, the reduced Poincare section is constricted along stable manifolds and a topological template, which preserves the ordering of forward sequences and can be used to extract the rotation numbers, is established. The rotation numbers computed from the topological template are the same as those computed from their original definition.

On the tensile behaviors of a hard chromium coating plated on a steel substrate with periodic subsurface inclusions

The tensile behaviors of a hard chromium coating plated on a steel substrate with periodic laser pre-quenched regions have been investigated by experimental and theoretic analysis. In the experiment, three specimens are adopted to study the differences between homogeneous and periodic inhomogeneous substrates as well as between periodic inhomogeneous substrate of relatively softer and stiffer materials. The unique characteristics have been observed in the specimen of periodic inhomogeneous substrate under quasi-static tension loading. With the periodic laser pre-quenched regions being treated as periodic subsurface inclusions (PSI), the unique stress/strain pattern of the specimen is obtained by analytical modeling and FEM analysis, and the mechanisms accounting for the experimental results is preliminarily illustrated.

A method to find unstable periodic orbits for the diamagnetic Kepler problem

A method to determine the admissibility of symbolic sequences and to find the unstable periodic orbits corresponding to allowed symbolic sequences for the diamagnetic Kepler problem is proposed by using the ordering of stable and unstable manifolds. By investigating the unstable periodic orbits up to length 6, a one to one correspondence between the unstable periodic orbits and their corresponding symbolic sequences is shown under the system symmetry decomposition.

A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application

An infinite elastic solid containing a doubly periodic parallelogrammic array of cylindrical inclusions under longitudinal shear is studied. A rigorous and effective analytical method for exact solution is developed by using Eshelby's equivalent inclusion concept integrated with the new results from the doubly quasi-periodic Riemann boundary value problems. Numerical results show the dependence of the stress concentrations in such heterogeneous materials on the periodic microstructure parameters. The overall longitudinal shear modulus of composites with periodic distributed fibers is also studied. Several problems of practical importance, such as those of doubly periodic holes or rigid inclusions, singly periodic inclusions and single inclusion, are solved or resolved as special cases. The present method can provide benchmark results for other numerical and approximate methods. (C) 2003 Elsevier Ltd. All rights reserved.

Crack propagation in structures subjected to periodic excitation

In the present paper, a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation, which has been used to identify the physical mechanisms in leading the growth or arrest of cracking. The structure under consideration consists of a beam with a crack along the axis, and thus, the crack may open in Mode I and in the axial direction propagate when the beam vibrates. In this paper, the system is modeled as a cantilever beam lying on a partial elastic foundation, where the portion of the beam on the foundation represents the intact portion of the beam. Modal analysis is employed to obtain a closed form solution for the structural response. Crack propagation is studied by allowing the elastic foundation to shorten (mimicking crack growth) if a displacement criterion, based on the material toughness, is met. As the crack propagates, the structural model is updated using the new foundation length and the response continues. From this work, two mechanisms for crack arrest are identified. It is also shown that the crack propagation is strongly influenced by the transient response of the structure.

Periodic vortex breakdown in wide spherical gaps

The flow field with vortex breakdown in wide spherical gaps was studied numerically by a finite difference method under the axisymmetric condition. The result shows that the flow bifurcates to periodic motion as the Reynolds number or the eccentricity of the spheres increases. (C) 1997 American Institute of Physics.

Effects of contact resistance on thermal-conductivity of composite media with a periodic structure

The thermal conductivity of periodic composite media with spherical or cylindrical inclusions embedded in a homogeneous matrix is discussed. Using Green functions, we show that the Rayleigh identity can be generalized to deal with thermal properties ot these systems. A new calculating method for effective conductivity of composite media is proposed. Useful formulae for effective thermal conductivity are derived, and meanings of contact resistance in engineering problems are explained.

Thermal-conductivity of periodic composite media with spherical inclusions

The thermal conductivity of periodic composite media with spherical inclusions embedded in a homogeneous matrix is discussed. Using Green's function, we show that the Rayleigh identity can be generalized to deal with the thermal properties of these systems. A technique for calculating effective thermal conductivities is proposed. Systems with cubic symmetries (including simple cubic, body centered cubic and face centered cubic symmetry) are investigated in detail, and useful formulae for evaluating effective thermal conductivities are derived.

PICES Press, Vol. 15, No. 1, January 2007

PICES science – 2006 (pdf, 0.1 Mb) 2006 Wooster Award (pdf, 0.1 Mb) Thank you note from the Past-Chairman of PICES (pdf, 0.1 Mb) A comparison of regional mechanisms for fish production: Ecosystem perspectives (pdf, 0.3 Mb) 2006 CREAMS/PICES international workshop and summer school (pdf, 0.2 Mb) PICES Calendar (pdf, 0.2 Mb) 2006 Harmful Algal Bloom Section annual workshop (pdf, 0.1 Mb) 2006 PICES Workshop on “Modeling iron biogeochemistry and ocean ecosystems” (pdf, 0.1 Mb) Strolling through the NEMURO ecosystem model (pdf, 0.1 Mb) Climate and marine birds and mammals in the North Pacific (pdf, 0.2 Mb) Photo highlights of the PICES Fifteenth Annual Meeting (pdf, 3.5 Mb) Recent trends in waters of the subarctic NE Pacific: Cooler and fresher in summer of 2006 (pdf, 0.2 Mb) The state of the western North Pacific in the first half of 2006 (pdf, 0.3 Mb) Latest and upcoming PICES publications (pdf, 0.3 Mb) A seven-year effort of the PICES CCCC MODEL Task Team culminates in a dedicated issue of Ecological Modelling (pdf, 0.1 Mb) Japan joins PICES Marine Metadata Federation (pdf, 0.3 Mb) Argo: A 2006 status report (pdf, 0.3 Mb) New Chairmen in PICES (pdf, 0.2 Mb) PICES Interns (pdf, 0.2 Mb)

PICES Press, Vol. 14, No. 2, July 2006

The 2006 inter-sessional Science Board and Governing Council meeting: A note from the Chairman (pdf, 0.1 Mb) Future Integrative Science Program – Progress report (pdf, 0.2 Mb) Big-picture synthesis requires understanding the small and "in-between" stuff - A summary of the CCCC Synthesis Symposium (pdf, 0.4 Mb) PICES Calendar (pdf, 0.4 Mb) Integration of ecological indicators for the North Pacific with emphasis on the Bering Sea (pdf, 0.2 Mb) Time series of the Northeast Pacific: A symposium to mark the 50th anniversary of Line-P (pdf, 0.1 Mb) PICES hosts an ESSAS workshop in St. Petersberg, Russia (pdf, 0.2 Mb) Professor Mikhail N. Koshlyakov (pdf, 0.5 Mb) The state of the western North Pacific in the second half of 2005 (pdf, 0.8 Mb) Recent trends in waters of the subarctic NE Pacific (pdf, 0.2 Mb) Unusual invertebrates and fish observed in the Gulf of Alaska, 2004-2005 (pdf, 0.1 Mb) The Bering Sea: Current status and recent events (pdf, 0.2 Mb) The Year of the Euphausiid (pdf, 0.01 Mb) Michio J. Kishi awarded 2005 Uda Prize by the Japan Society of Fisheries Oceanography (pdf, 0.03 Mb)

PICES Press, Vol. 14, No. 1, January 2006

The state of PICES science - 2005 (pdf, 0.2 Mb) 2005 Wooster Award (pdf, 0.4 Mb) Korea and U.S. federate metadata collection (pdf, 0.3 Mb) PICES Interns (pdf, 0.3 Mb) Studies on long-term variation of ocean ecosystem / climate interactions based on the Odate collection (pdf, 0.2 Mb) Hokkaido University Fisheries & Oceanographic Database CD-ROM (pdf, 0.2 Mb) Workshop on sardine and anchovy fluctuations (pdf, 0.1 Mb) Photo highlights of PICES XIV (pdf, 0.4 Mb) Workshop on SEEDS-II (pdf, 0.2 Mb) NPAFC-PICES joint symposium "The status of Pacific salmon and their role in North Pacific marine ecosystems" (pdf, 0.2 Mb) PICES Calendar (pdf, 0.2 Mb) New Chairman of the PICES Fishery Science Committee (pdf, 0.1 Mb) The state of the western North Pacific in the first half of 2005 (pdf, 0.4 Mb) Latest and upcoming PICES publications (pdf, 0.4 Mb) Recent trends in waters of the subarctic NE Pacific (pdf, 0.2 Mb) The Bering Sea: Current status and recent events (pdf, 0.1 Mb) PICES and GLOBEC to sponsor workshop on sub-arctic seas (pdf, 0.1 Mb) Professor Mikhail N. Koshlyakov - 75 (pdf, 0.1 Mb) Obituary - Dr. Al Tyler (pdf, 0.1 Mb)

PICES Press, Vol. 13, No. 2, July 2005

PICES in transition: The 3rd inter-sessional Science Board and Governing Council meeting (pdf 0.3 MB) New and upcoming PICES publications (pdf 0.3 MB) PICES hosts GLOBEC Symposium on “Climate Variability and Sub-Arctic Marine Ecosystems” in Victoria (pdf 0.4 MB) First CREAMS/PICES Workshop on East Asian Seas Time-series (pdf 0.4 MB) PICES workshop discusses Oceanic Ecodynamics COmparison in the Subarctic Pacific (OECOS) - a project proposal (pdf 0.3 MB) The state of the western North Pacific in the second half of 2004 (pdf 0.4 MB) The Bering Sea: Current status and recent events (pdf 0.3 MB) Recent trends in waters of the subarctic NE Pacific (pdf 0.3 MB) CFAME workshop on “Developing a working plan for CCCC synthesis” (pdf 0.5 MB) What is winter? (pdf 0.5 MB) The first specimens of Humboldt squid in British Columbia (pdf 0.4 MB) Obituary - Dr. Daniel M. Ware (pdf 0.3 MB) PICES Calendar (pdf 0.3 MB)