1. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 A Poincaré map generated using a double-sided Poincaré section (plane) which intersects a hypothetical single-period periodic orbit at the same locations Figure Legend:

2. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 (a) Schematic time history of a cyclic nonperiodic system and (b) the application of state vector norm as intersection criterion for cyclic nonperiodic systems with monotonic state transition Figure Legend:

3. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Demonstration of the intersection position vector angle invariance with the plane normal vector for uniform norms Figure Legend:

4. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 State flow intersection point coordinates calculation and Poincaré section coordinate system for a simplified 3-dimensional case Figure Legend:

5. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Gas turbine system with major inputs and output elements Figure Legend:

6. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Computation algorithm for the proposed method Figure Legend:

7. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Location of the Poincaré Section suite with respect to the Euclidian norm of the normalized states of (a) Unit 3, (b) Unit 4, (c) Unit 5, and (d) Units 3–5 Figure Legend:

8. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Total deviation in (a) β and (b) η* for Unit 3 with three major events (I–III) Figure Legend:

9. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Total deviation in (a) β and (b) η* for Unit 4 with three major events (IV–VI) Figure Legend:

10. Date of download: 5/29/2016 Copyright © ASME. All rights reserved. From: Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health J. Eng. Gas Turbines Power. 2012;134(5):051601-051601-8. doi:10.1115/1.4005212 Total deviation in (a) β and (b) η* for Unit 5 with abnormal events Figure Legend: